Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4423/560,6051/3851
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 4423,6051
Greatest Common Factor of Numerators i.e. GCF of 4423,6051 is 1 .
LCM of Denominators means LCM of 560,3851 as per the given fractions.
LCM of 560,3851 is 2156560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4423,6051
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4423
List of positive integer factors of 4423 that divides 4423 without a remainder.
1,4423
Factors of 6051
List of positive integer factors of 6051 that divides 6051 without a remainder.
1,3,2017,6051
Greatest Common Factor
We found the factors 4423,6051 . The biggest common factor number is the GCF number.
So the greatest common factor 4423,6051 is 1.
Lets's calculate LCM of 560,3851
Given numbers has no common factors except 1. So, there LCM is their product i.e 2156560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2156560
Therefore, the GCF of Fractions 4423/560,6051/3851 is 1/2156560
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 560,3851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,3851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(560,3851) x common factors =1 x 1 = 1
LCM(560,3851) = ( 560 × 3851 ) / 1
LCM(560,3851) = 2156560 / 1
LCM(560,3851) = 2156560
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 4423/560, 6051/3851?
Answer: GCF of Numerators as per given numbers 4423/560, 6051/3851 is
GCF of Numerators i.e. for 4423,6051 is 1
LCM of denominators i.e. for 560,3851 is 2156560.
Thus, GCF of Fractions is 1/2156560.Finally, GCF of Fractions for 4423/560, 6051/3851 is 1/2156560.